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Aleks [24]
3 years ago
10

Find the missing value when given the modulus. |48+bi|=50

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Answer:

missing value b is 14

Step-by-step explanation:

We have been given the modulus of a complex number which is

r=\sqrt{a^2+b^2}

Here on comparing the given complex number with general a+bi we get:

a=48 and b=b

On substituting the values in the formula for modulus we get:

\sqrt{48^2+b^2}=50

\Rightarrow 2304+b^2=50^2

\Rightarrow b^2=2500-2304

\Rightarrow b^2=196

\Rightarrow b=\sqrt{196}

\Rightarrow b=14

Therefore, missing value b is 14

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